Calculus Examples

$\frac{\sin (\frac{n π}{2}) - \sin (- \frac{n π}{2})}{n π}$

Step 1

Since $\sin (- \frac{n π}{2})$ is an odd function, rewrite $\sin (- \frac{n π}{2})$ as $- \sin (\frac{n π}{2})$ .

$\frac{\sin (\frac{n π}{2}) - - \sin (\frac{n π}{2})}{n π}$

Step 2

Multiply $- - \sin (\frac{n π}{2})$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$\frac{\sin (\frac{n π}{2}) + 1 \sin (\frac{n π}{2})}{n π}$

Step 2.2

Multiply $\sin (\frac{n π}{2})$ by $1$ .

$\frac{\sin (\frac{n π}{2}) + \sin (\frac{n π}{2})}{n π}$

Step 3

Add $\sin (\frac{n π}{2})$ and $\sin (\frac{n π}{2})$ .

$\frac{2 \sin (\frac{n π}{2})}{n π}$